Cremona's table of elliptic curves

4422 = 2 · 3 · 11 · 67

Field	Data	Notes
Atkin-Lehner	2- 3+ 11+ 67+	Signs for the Atkin-Lehner involutions
Class	4422h	Isogeny class
Conductor	4422	Conductor
∏ cp	4	Product of Tamagawa factors cp
deg	12672	Modular degree for the optimal curve
Δ	-25787163369924 = -1 · 22 · 311 · 112 · 673	Discriminant
Eigenvalues	2- 3+ -1 -1 11+  6 -4  4	Hecke eigenvalues for primes up to 20
Equation	[1,1,1,-1256,244397]	[a1,a2,a3,a4,a6]
j	-219136257917569/25787163369924	j-invariant
L	2.1980537021635	L(r)(E,1)/r!
Ω	0.54951342554088	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	35376bc1 13266g1 110550m1 48642c1	Quadratic twists by: -4 -3 5 -11

Hecke Eigenvalues for elliptic curve 4422h1

a2	a3	a5	a7	a11	a13	a17	a19	a23	a29	a31	a37	a41	a43	a47	a53	a59	a61	a67	a71	a73	a79	a83	a89	a97
-	+	-1	-1	+	6	-4	4	1	6	-9	3	-3	1	12	-1	9	10	+	12	-15	-16	13	4	-8

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Quadratic twists for elliptic curve 4422h1

-4	-3	5	-11
35376bc1	13266g1	110550m1	48642c1

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Data from Elliptic Curve Data by J. E. Cremona.
Design inspired by The Modular Forms Explorer by William Stein.

Part of Computational Number Theory
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